UOIT MATH 1010 Midterm 1 solutions (Pink Cover) 2011

# UOIT MATH 1010 Midterm 1 solutions (Pink Cover) 2011 -...

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Calculus I Midterm 1 October, 2011 2 1. (11 marks total) Answer each of the following. a) (2 marks) Find the exact value of 3 4 sin . b) (2 marks) What is the domain of x x g 2 ) ( ? c) (4 marks) Use Squeeze Theorem to find 4 2 0 12 sin 6 lim x x x . d) (3 marks) Consider the function 1 2 1 ) ( x x x f . Find ) ( 1 x f .

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Calculus I Midterm 1 October, 2011 3 2. (3 marks) Find )) ( sec(arcsin x 3. (5 marks) Sketch a function satisfying ALL of the following properties: i) 2 ) ( lim x f x and 2 ) ( lim x f x ii) It is discontinuous at 5 x iii) 2 ) 4 ( f iv)  ) ( lim 7 x f x and  ) ( lim 7 x f x v) 3 ) 1 ( f
Calculus I Midterm 1 October, 2011 4 4. (4 marks) Prove that x x 25 5 1 2 has a solution (root). 5. (3 marks)

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## This note was uploaded on 12/03/2011 for the course MATH 1010 taught by Professor Mihai during the Spring '08 term at UOIT.

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UOIT MATH 1010 Midterm 1 solutions (Pink Cover) 2011 -...

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